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Dual-Family Viscous Shock Waves in n Conservation Laws with Application to Multi-Phase Flow in Porous Media.
- Source :
-
Archive for Rational Mechanics & Analysis . Oct2006, Vol. 182 Issue 1, p1-24. 24p. 4 Diagrams, 1 Graph. - Publication Year :
- 2006
-
Abstract
- We consider shock waves satisfying the viscous profile criterion in general systems of n conservation laws. We study S i, j dual-family shock waves, which are associated with a pair of characteristic families i and j. We explicitly introduce defining equations relating states and speeds of S i, j shocks, which include the Rankine–Hugoniot conditions and additional equations resulting from the viscous profile requirement. We then develop a constructive method for finding the general local solution of the defining equations for such shocks and derive formulae for the sensitivity analysis of S i, j shocks under change of problem parameters. All possible structures of solutions to the Riemann problems containing S i, j shocks and classical waves are described. As a physical application, all types of S i, j shocks with i> j are detected and studied in a family of models for multi-phase flow in porous media. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 182
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 21625668
- Full Text :
- https://doi.org/10.1007/s00205-005-0419-9